And I would also like to state this:
People in Noah's day took no note of God. Whether they knew of Noah or not they still took no note. Many people knew of Noah and took no note of God. Perhaps some people didn't know about Noah and they also didn't take note of God. A righteous person would have been distressed by the happenings on the earth and would have taken note. That his why Noah got God's attention. Because he took note. And so he was warned and preached and acted up the knowledge he had. Anyone who took note would have been gotten Jehovah's attention and received the warning.
The same is true of Sodom. Anyone who took note of God would have gotten Jehovah's attention and received the warning. Lot received the warning.
So likewise the taking no note today. Many people have been talked to by JWs or know of them and take no note of the true God, Jehovah. Some do not know anything about JWs and they also take no note of God. If you think that JWs will have to speak to every single person on the planet before Armageddon comes you are wrong. Jehovah can read hearts and is well aware of anyone righteous taking note of him and I am confident that he will draw these to him.
Conclusion: The taking of no note in the days of Noah, Lot, and the Son of man, does not just include those that did not listen to the warning that they may have received from God's servants. It includes everyone who took no note of God regardless. Any righteous ones on earth distressed by world conditions can take note of God and search for him and they will find him. Jehovah will see to that.